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Finding the Fourth Proportional to 424.14, 632.72 and 394.68

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Solution

The fourth proportional to 424.14, 632.72 and 394.68 is: 588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 632.72 = 394.68 : x
  2. Step 2: Convert to fraction form
    424.14/632.72 = 394.68/x
  3. Step 3: Cross multiply
    424.14x = 632.72 × 394.68
  4. Step 4: Simplify right side
    424.14x = 249,721.93
  5. Step 5: Solve for x
    x = 249,721.93/424.14
  6. Step 6: Final answer
    x = 588.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.